A triangle has sides of length 7 cm, 24 cm, and 25 cm. Determine if it is a right triangle.

Wed, 06 May 2026 04:23:41 +0000

**A triangle has sides of length 7 cm, 24 cm, and 25 cm. Determine if it is a right triangle.**
In a digital age buzzing with geometric curiosity, a simple question stirs interest: can a triangle with sides measuring 7 cm, 24 cm, and 25 cm truly be classified as a right triangle? This composition is neither just a math problem—it’s a gateway to understanding fundamental principles of geometry, especially the time-tested rule that defines right angles. Whether you’re studying architecture, designing smart home plans, or exploring educational tools—knowing whether this triangle holds right-angle status reveals deeper insights into spatial reasoning used across sciences, engineering, and daily applications. Discover why compact triangle ratios matter, how they validate right triangle status, and why precise measurement holds value—even in casual contexts. The idea of verifying right angles in a triangle with specific side lengths reflects a growing demand for accuracy in technical education and workplace tools. The Pythagorean theorem—perhaps the most famous rule linking triangle sides—states that in a right triangle, the square of the longest side (the hypotenuse) equals the sum of the squares of the other two sides. Applying this principle, check if \(7^2 + 24^2 = 25^2\). Compute: 49 + 576 = 625. Since 25 squared equals 625, the triangle satisfies the core condition for being a right triangle. This validation isn’t just academic—it reinforces confidence in design, construction, and data-based planning. Why is this topic attracting attention now, especially in the U.S. context? Recent increases in STEM education focus, emerging tech platforms emphasizing visual and spatial learning, and casual home DIY projects all drive interest in simple geometry. When faced with a triangle measuring